Answer:
<em>No values of x can make f(x)=6</em>
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:
We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:
Subtracting 1:
Dividing by -0.5:
We reach to this equation to solve:
As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
16) First solve like a normal equation.
3|x/9| - 1 = 2
3|x/9| = 3
|x/9| = 1
Now just separate into two equations:
x/9 = 1
x/9 = -1
So x = 9, -9
17) Solve like normal:
-4 - 2|b - 10| = -6
-2 |b - 10| = -2
|b - 10| = 1
Now just separate into two equations:
b - 10 = 1
b - 10 = -1
So then b = 11, 9
Answer: 4
Step-by-step explanation:
When we roll a 6-sided dis , the total possible of outcomes : 1, 2, 3, 4, 5, 6
Thus , the total number of outcomes =6
The favorable outcomes: 2, 1, 3 , 5
Thus , the number of favorable outcomes = 4
Does this help?
Answer:
The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.
The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.
Step-by-step explanation:
Deductive reasoning or deduction, is one of the two basic types of logical inferences. A logical inference is a connection from a first statement to a second statement for which the rules of logic show that if the first statement is true, the second statement should be true. Basically one logical statement defines the base of the argument to reach the conclusion.
Here we can see that in first case:
The fair charges $5 for admission, so we know the fact that it charges $5 for the admission, now whoever goes to the fair will have to spend $5 to get in. Tom is going to the fair so Tom will spend$5 for admission to the fair. Therefore, this statement is deductive reasoning.
Case 2:
The radius of a circle is one-half the length of the diameter, this sentence is a fact. Now the diameter of a circle is 10ft so it is obvious that based on the previous sentence we will calculate the radius of the circle that is half of the diameter.
So only these two examples are based on deductive reasoning.
